The homogeneous circular cylinder shown has a mass m, and

Chapter 9, Problem 9.179

(choose chapter or problem)

The homogeneous circular cylinder shown has a mass m, and the diameter OB of its top surface forms \(45^{\circ}\) angles with the x and z axes. (a) Determine the principal mass moments of inertia of the cylinder at the origin O. (b) Compute the angles that the principal axes of inertia at O form with the coordinate axes. (c) Sketch the cylinder, and show the orientation of the principal axes of inertia relative to the x, y, and z axes.

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